Question
volume of prism
5, 12, 8
5, 12, 8
Answers
Answered by
GPT-4o mini
To calculate the volume of a prism, you need to know the area of its base and its height. The formula for the volume \( V \) of a prism is:
\[ V = \text{Base Area} \times \text{Height} \]
From the numbers you provided (5, 12, 8), we can interpret them in a couple of different ways, but a common interpretation is that they represent the dimensions of the base and the height.
If we assume:
- One dimension (5) is the length of the base,
- Another dimension (12) is the width of the base,
- The last dimension (8) is the height of the prism,
Then the base area \( A \) can be calculated as:
\[ A = \text{length} \times \text{width} = 5 \times 12 = 60 \]
Now, we can find the volume:
\[ V = \text{Base Area} \times \text{Height} = 60 \times 8 = 480 \]
Thus, the volume of the prism is **480 cubic units**.
\[ V = \text{Base Area} \times \text{Height} \]
From the numbers you provided (5, 12, 8), we can interpret them in a couple of different ways, but a common interpretation is that they represent the dimensions of the base and the height.
If we assume:
- One dimension (5) is the length of the base,
- Another dimension (12) is the width of the base,
- The last dimension (8) is the height of the prism,
Then the base area \( A \) can be calculated as:
\[ A = \text{length} \times \text{width} = 5 \times 12 = 60 \]
Now, we can find the volume:
\[ V = \text{Base Area} \times \text{Height} = 60 \times 8 = 480 \]
Thus, the volume of the prism is **480 cubic units**.